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A244185
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T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order
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10
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13, 38, 22, 48, 108, 36, 49, 173, 306, 59, 49, 188, 650, 867, 97, 49, 189, 790, 2495, 2457, 160, 49, 189, 811, 3537, 9667, 6963, 263, 49, 189, 812, 3803, 16477, 37604, 19732, 433, 49, 189, 812, 3831, 19113, 78614, 146521, 55918, 712, 49, 189, 812, 3832, 19575
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OFFSET
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1,1
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COMMENTS
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Table starts
...13.....38......48.......49........49........49........49........49........49
...22....108.....173......188.......189.......189.......189.......189.......189
...36....306.....650......790.......811.......812.......812.......812.......812
...59....867....2495.....3537......3803......3831......3832......3832......3832
...97...2457....9667....16477.....19113.....19575.....19611.....19612.....19612
..160...6963...37604....78614....101200....107068....107818....107863....107864
..263..19732..146521...380407....556443....620051....631917....633072....633127
..433..55918..571315..1855983...3141344...3761768...3920234...3942493...3944198
..712.158464.2228340..9098538..18055451..23672967..25559691..25918400..25957707
.1172.449066.8692454.44726540.105031051.153195068.173884143.178997028.179748699
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-2) +a(n-3) +2*a(n-4) +a(n-5) +a(n-6)
k=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +5*a(n-4) +3*a(n-5) +2*a(n-6)
k=3: [order 12]
k=4: [order 18]
k=5: [order 24]
k=6: [order 30]
k=7: [order 36]
k=8: [order 42]
k=9: [order 48]
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EXAMPLE
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Some solutions for n=6 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....0....1....0....1....1....1....0....1....1....1....1....1....1....1....1
..1....1....2....1....2....2....1....1....2....2....2....1....1....0....0....2
..0....2....3....2....0....3....2....2....1....3....0....2....2....2....0....2
..2....2....4....1....3....0....2....3....3....0....2....2....3....2....1....0
..3....1....4....2....0....1....3....3....3....0....3....0....4....3....0....3
..0....0....3....0....0....3....2....4....4....0....2....3....3....0....2....1
..0....0....2....0....4....4....1....4....0....4....1....0....3....1....3....4
..2....0....2....1....3....4....4....2....2....2....2....1....1....3....1....1
..3....0....0....2....0....1....0....1....1....0....4....1....1....4....1....2
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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